Question Consider maximising 6- x² - 4y2 + 2xy where where x ≥ 16. What y-value solves this maximisation problem? Your Answer: Question In the problem, the inequality constraint holds with strict inequality. True False Question Now replace the inequality constraint with the new one that y ≤ 18. What is the value of the Lagrange multiplier in the case where we assume the constraint holds with strict equality? Your Answer: Question In the previous maximisation, which cases have valid critical points? The constraint holds with strict equality. The constraint holds with strict inequality.

Q: Find the minimum value of f(x,..)= x + 64, + x, subject to the following constraints. Write the…

A:

Q: Find the maximum value of Q(x) = -2x + 10x3+4x1x2 subject to the constraint x² + x3 = 1. answer…

A:

Q: Which quadratic inequality is graphed below? a. y≥ (x-2)(x+3) b. y>(x-2)(x+3) C. y> (x+2)(x-3) d.…

A:

Q: The functions f(x) = x2 -3 and g(x)% = -x2 + 2 are shown on the graph. 6- flæ) = x - 3 -5- -4 -4 -3…

A: Given two functions; f(x) = x^2 -3 g(x) = -x^2 + 2

Q: 4161. Constrained optimization. Please solve without AI and clear handwriting. Thank you

A: Step 1:The length of the rectanglular box is x  cmThe width of the rectanglular box is y  cmThe…

Q: Solve the following problem using artificial variables. Maximize z= 3x₁ + 2x₂ subject to the…

A:

Q: Find the maximum of the objective function C = 7x + 8y subject to the feasibility region below. 12…

A:

Q: 3. The profit of a certain cellphone manufacturer can be represented by the function p(x) = -2000x²…

A:

Q: Say whether or not each of the following is a linear program. If it is a linear program, then…

A: Linear Programming Problem:- A programming problem is said to be linear programming problem if it's…

Q: F(x, y) =6x+y³ + xy

A:

Q: (b) maximize subject to 1 + 2x2 x₁ x₁ + 2x₂ ≤ 6, x1 + 3x2 ≤ 12, X1 X1, X20

A: